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" Prove that the curve "((x)/(a))^(n)+((...

" Prove that the curve "((x)/(a))^(n)+((y)/(b))^(n)=2" touches the straight line "(x)/(a)+(y)/(b)=2" at "(a,b)" for all value of "x

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The curve ((x)/(a))^(n)+((y)/(b))^(n)=2 touches the straight line (x)/(a)+(y)/(b)=2 at the point (a, b) :

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